English

Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary

Differential Geometry 2007-05-23 v1

Abstract

We study the minimality of an isometric immersion of a Riemannian manifold into a strictly pseudoconvex CR manifold endowed with the Webster metric hence formulate a version of the CR Yamabe problem for CR manifolds-with-boundary. This is shown to be a nonlinear subelliptic problem of variational origin.

Keywords

Cite

@article{arxiv.math/0605391,
  title  = {Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary},
  author = {Sorin Dragomir},
  journal= {arXiv preprint arXiv:math/0605391},
  year   = {2007}
}